I don't see why not, though I don't know if you'd really want to do that. You need to edit the gcode manually to force the printing process to wait for the bed to cool as pid tuning is recommended to start with a bed/hot end at room temperature. This would only make sense when printing at high volume and PID needs to be tuned to account for cooling down the melt chamber when a lot of cool plastic needs to warm up.

Even better would be to have a range of PID settings that can be set based on extruded volume. I think I've seen this somewhere but I can't remember. I'm sure someone more knowledgeable will chime in.